
import math







def 							A__       (    lowerCamelCase    )	->						list:
				UpperCamelCase_:				int						=    [True] * n
				UpperCamelCase_:				Tuple						=    False
				UpperCamelCase_:				Dict						=    False
				UpperCamelCase_:				Dict						=    True

				for i in range(3  ,     int(n**0.5 + 1    )  ,     2    ):
								UpperCamelCase_:				Any						=    i * 2
								while index < n:
												UpperCamelCase_:				Tuple						=    False
												UpperCamelCase_:				Tuple						=    index + i

				UpperCamelCase_:				List[Any]						=    [2]

				for i in range(3  ,     lowerCamelCase  ,     2    ):
								if is_prime[i]:
												primes.append(lowerCamelCase    )

				return primes







def 							A__       (    lowerCamelCase = 99_99_66_66_33_33    )	->						int:
				UpperCamelCase_:				Union[str, Any]						=    math.floor(math.sqrt(lowerCamelCase    )    ) + 1_00
				UpperCamelCase_:				List[str]						=    prime_sieve(lowerCamelCase    )

				UpperCamelCase_:				Dict						=    0
				UpperCamelCase_:				Dict						=    0
				UpperCamelCase_:				List[str]						=    primes[prime_index]

				while (last_prime**2) <= limit:
								UpperCamelCase_:				Tuple						=    primes[prime_index + 1]

								UpperCamelCase_:				Dict						=    last_prime**2
								UpperCamelCase_:				str						=    next_prime**2

								# Get numbers divisible by lps(current)
								UpperCamelCase_:				Optional[Any]						=    lower_bound + last_prime
								while upper_bound > current <= limit:
												matches_sum += current
												current += last_prime

								# Reset the upper_bound
								while (upper_bound - next_prime) > limit:
												upper_bound -= next_prime

								# Add the numbers divisible by ups(current)
								UpperCamelCase_:				Tuple						=    upper_bound - next_prime
								while current > lower_bound:
												matches_sum += current
												current -= next_prime

								# Remove the numbers divisible by both ups and lps
								UpperCamelCase_:				Optional[Any]						=    0
								while upper_bound > current <= limit:
												if current <= lower_bound:
																# Increment the current number
																current += last_prime * next_prime
																continue

												if current > limit:
																break

												# Remove twice since it was added by both ups and lps
												matches_sum -= current * 2

												# Increment the current number
												current += last_prime * next_prime

								# Setup for next pair
								UpperCamelCase_:				Union[str, Any]						=    next_prime
								prime_index += 1

				return matches_sum


if __name__ == "__main__":
							print(solution())








def 							A__       (    lowerCamelCase = 4_00_00_00    )	->						int:
				UpperCamelCase_:				Dict						=    []
				UpperCamelCase_, UpperCamelCase_:				Optional[int]						=    0, 1
				while b <= n:
								if b % 2 == 0:
												even_fibs.append(lowerCamelCase    )
								UpperCamelCase_, UpperCamelCase_:				int						=    b, a + b
				return sum(lowerCamelCase    )


if __name__ == "__main__":
							print(F"""{solution() = }""")






